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Researcher Information

last modified:2021/04/13

Professor TAKANOBU Satoshi


Faculty, Affiliation

Faculty of Mathematics and Physics, Institute of Science and Engineering

College and School Educational Field

Division of Mathematical and Physical Science, Graduate School of Natural Science and Technology
Division of Mathematical and Physical Sciences, Graduate School of Natural Science and Technology
School of Mathematics and Physics, College of Science and Engineering


Academic Background

【Academic background(Doctoral/Master's Degree)】
Tokyo Metropolitan University Doctor Graduate School, Division of Natural Science 198603 Accomplished credits for doctoral program
Tokyo Metropolitan University Master Graduate School, Division of Natural Science 198203 Completed
【Academic background(Bachelor's Degree)】
Shizuoka University 198003


Kanazawa University(1992/10/01-2004/04/30)
Kanazawa University(2004/05/01-)

Year & Month of Birth


Academic Society

Mathematical Society of Japan



、Basic analysis

Speciality Keywords

Rough path analysis

Research Themes

From "probability that two integers are co-prime" to "central limit theorem"

Multidimensional Brownian local times in the Malliavin calculus


  •  Bohr-Jessen Limit Theorem, Revisited Mathematical Society of Japan 2013/07


  •  Berkes' limit theorem Satoshi Takanobu J. Math. Soc. Japan 71 1 117-145 2019/01
  •  Bohr-Jessen process and functional limit theorem Kyoto Journal of Mathematics 2014/10
  •  On the error estimate of the integral kernel for the Trotter product formula for Schrodinger operators Ann. Probab. 25 1895-1952 1997
  •  On the distribution of k-th power free integers, II Trinh Khanh Duy OSAKA JOURNAL OF MATHEMATICS 50 687-713 2013/09
  •  The probability of two F_q-polynomials to be coprime Hiroshi Sugita, Satoshi Takanobu Adv. Stud. Pure Math. 49  455-478 2007/07

show all

  •  On the trace norm estimate of the Trotter product formula for Schrodinger operators OSAKA JOURNAL OF MATHEMATICS 35 659-682 1998
  •  On the strong-mixing property of skew product of binary transformation on 2-dimensional torus by irrational rotation Tokyo J. Math. 25 1-15 2002
  •  Estimate of the difference between the Kac operator and the Schrodinger semigroup COMMUNICATIONS IN MATHEMATICAL PHYSICS 186 167-197 1997
  •  A limit theorem for Weyl transformation in infinite-dimensional torus and central limit theorem for correlated multiple Wiener integrals J. Math. Sci. Univ. Tokyo 7 99-146 2000
  •  Limit theorem for symmetric statistics with respect to Weyl transformation: Disappearance of dependency JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 38 653-671 1998
  •  Random Weyl sampling for robust numerical integration of complicated functions Monte Carlo Methods and Appl. 6 27-48 2000
  •  The norm estimate of the difference between the Kac operator and Schrodinger semigroup II: The general case including the relativistic case Electronic J. Probab. 5 ,paper no  5 2000
  •  The norm estimate of the difference between the Kac operator and the Schrodinger semigroup: A unified approach to the nonrelativistic and relativistic cases NAGOYA MATHEMATICAL JOURNAL 149 53-81 1998
  •  The probability of two integers to be co-prime, revisited --- on the behavior of CLT-scaling limit OSAKA JOURNAL OF MATHEMATICS 40 945-976 2003
  •  A generalization of functional limit theorems on the Riemann zeta process Satoshi Takanobu Osaka Journal of Mathematics 56 4 843-882 2019

Conference Presentations


Arts and Fieldwork


Theme to the desired joint research

Grant-in-Aid for Scientific Research


Competitive research funding,Contribution

Collaborative research,Consignment study

Classes (Bachelors)

○Lecture on Life in Campus and Society(2016)
○Mathematical Thinking(2016)
○Analysis 2C(2016)
○Analysis 4A(2016)
○Mathematical Statistics(2016)
○Analysis 4B(2016)

Classes (Graduate Schools)

○Stochastic Analysis(2017)
○Stochastic Analysis(2017)
○Stochastic Analysis(2017)
○Research Work A(2017)
○Seminar A(2017)
○Exercise A(2017)
○Stochastic Analysis(2017)
○Stochastic Analysis(2016)
○Exercise A(2016)
○Seminar A(2016)
○Research Work A(2016)
○International Research Internship(2016)
○Analysis IIb(2016)
○International Research Internship(2016)
○Analysis IIa(2016)

International Project

International Students

Lecture themes

Others (Social Activities)

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